Exercise: Kinematics Of A Particle

Questions for: Kinematics Of A Particle

The pilot of flighter plane F is following 1.5 km behind the pilot of bomber B. Both planes are originally traveling at 120 m/s. In an effort to pass the bomber, the pilot in F gives his plane a constant acceleration of 12 m/s2. Determine the speed at which the pilot in the bomber sees the pilot of the fighter plane pass at the start of the passing operation the bomber is decelerating at 3 m/s2. Neglect the effect of any turning.

A:
vF/B = 150 m/s
B:
vF/B = 367 m/s
C:
vF/B = 90 m/s
D:
vF/B = 212 m/s
Answer: D
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From experimental data, the motion of a jet plane while traveling along a runway is defined by the v-t graph shown. Find the position s and the acceleration a when t = 40 s.

A:
s = 2.80 km, a = 2.00 m/s2
B:
s = 2.80 km, a = 0
C:
s = 2.80 km, a = 2.67 m/s2
D:
s = 2.80 km, a = 8.37 m/s2
Answer: B
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The v-s graph for a rocket sled is shown. Determine the acceleration of the sled when s = 100 m and s = 175 m.

A:
a100 = 3.75 m/s2, a175 = -1.250 m/s2
B:
a100 = 11.11 m/s2, a175 = -25.0 m/s2
C:
a100 = 0.333 m/s2, a175 = -1.000 m/s2
D:
a100 = 33.3 m/s2, a175 = -25 m/s2
Answer: B
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A passenger in the automobile B observes the motion of the train car <>. At the instant shown, the train has a speed of 18 m/s and is reducing its speed at a rate of 1.5 m/s2. The automobile is accelerating at 2 m/s2 and has a speed of 25 m/s. Determine the velocity and acceleration of A with respect to B. The train is moving along a curve of radius <> = 300 m.

A:
vA/B = (25.0i+18.00j) m/s, aA/B = (2.00i-1.500j) m/s2
B:
vA/B = (25.0i+18.00j) m/s, aA/B = (0.920i-1.500j) m/s2
C:
vA/B = (-25.0i-18.00j) m/s, aA/B = (-2.00i+1.500j) m/s2
D:
vA/B = (-25.0i-18.00j) m/s, aA/B = (-0.920i+1.500j) m/s2
Answer: D
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A package is dropped from the plane which is flying with a constant horizontal velocity of vA = 150 ft/s at a height h = 1500 ft. Determine the radius of curvature of the path of the package just after it is released from plane at A.

A:
2 = 9860 ft
B:
2 = 3000 ft
C:
2 = 1500 ft
D:
2 = 8510 ft
Answer: D
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